Theory of interacting quantum fields.
type: Item
instance of: scholarly article
title: Theory of interacting quantum fields.
zbMATH Open document ID: 1246.81005
DOI: 10.1515/9783110250633
author: O. L. Rebenko
published in: De Gruyter Studies in Mathematics
publication date: 2011-05-03T00:00:00Z
review text: This self-contained, comprehensive monograph presents a careful modern introduction to the basic methods and applications of quantum field theory. The approach in this book is at the crossroads between building a mathematical fundament of QFT and providing the calculation techniques used by physicists. Rebenko emphasizes recent methods of constructive as well as Euclidean field theory. The book has seven parts. Part I provides an overview of the symmetry groups used in particle physics. Part II presents the classical theory of free fields. Part III deals with the classical theory of interacting fields. Part IV is devoted to the mathematics of second quantization. Part V, the main part, gives a full account of the theory of interacting fields and renormalization. Part VI deals with the axiomatic approach of Wightman and others and with the Euclidean version of field theory. Part VII introduces to gauge theory and the Standard Model of particle physics. Everything is based on rigorous mathematics. This book should be useful as a reference for students and researchers alike with interests in QFT, particle physics, mathematics and related areas. I hope this excellent reference will be welcomed.
reviewed by: Gert Roepstorff
Mathematics Subject Classification ID: 81-02
Mathematics Subject Classification ID: 81T05
Mathematics Subject Classification ID: 81T08
Mathematics Subject Classification ID: 81T13
Mathematics Subject Classification ID: 81T15
Mathematics Subject Classification ID: 81T18
Mathematics Subject Classification ID: 81S05
Mathematics Subject Classification ID: 81U20
Mathematics Subject Classification ID: 81V10
zbMATH DE Number: 5883305
zbMATH Keywords: quantum field theory
zbMATH Keywords: Euclidean field theory
zbMATH Keywords: gauge theory
zbMATH Keywords: second quantization
zbMATH Keywords: interacting fields
zbMATH Keywords: standard model
zbMATH Keywords: renormalization
zbMATH Keywords: symmetry group in particle physics
zbMATH Keywords: axiomatic field theory
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1515/9783110250633
OpenAlex ID: W619143518
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description: scientific article; zbMATH DE number 5883305